20214746640 has 320 divisors, whose sum is σ = 76157982720. Its totient is φ = 4887682560.

The previous prime is 20214746609. The next prime is 20214746653. The reversal of 20214746640 is 4664741202.

20214746640 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 7 + 4 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20214746595 and 20214746604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11570247 + ... + 11571993.

It is an arithmetic number, because the mean of its divisors is an integer number (237993696).

Almost surely, 2^20214746640 is an apocalyptic number.

20214746640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38078991360).

20214746640 is an abundant number, since it is smaller than the sum of its proper divisors (55943236080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20214746640 is a wasteful number, since it uses less digits than its factorization.

20214746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20214746640 in words is "twenty billion, two hundred fourteen million, seven hundred forty-six thousand, six hundred forty".